Betti curves of Cosmic web: dependence on halo mass range and redshift
Maksym Tsizh
In our work we study how shapes of Cosmic web Betti curves depend on halo mass range and redshit. We use halo catalog of Mutlidark simulation for this purpose. We propose our fit curve for these Betti curves and compare them to Betti curves of the random pointclouds. We discuss the manifestation of the topological bias effect and study other pesistent homology properties of considere Cosmic web. In particular, we discuss the possibility to construct a cosmological test based on these properties.